Liveness by invisible invariants

Yi Fang, Kenneth L. McMillan, Amir Pnueli, Lenore D. Zuck

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The method of Invisible Invariants was developed in order to verify safety properties of parametrized systems in a fully automatic manner. In this paper, we apply the method of invisible invariant to "bounded response" properties, i.e., liveness properties of the type p q that are bounded - once a p-state is reached, it takes a bounded number of rounds (where a round is a sequence of steps in which each process has been given a chance to proceed) to reach a q-state - thus, they are essentially safety properties. With a "liveness monitor" that observes certain behavior of a system, establishing "bounded response" properties over the system is reduced to the verification of invariant properties. It is often the case that the inductive invariants for systems with "liveness monitors" contain assertions of a certain form that the original method of invisible invariant is not able to generate, nor to check inductiveness. To accommodate invariants of such forms, we extend the techniques used for invariant generation, as well as the small model theorem for validity check.

Original languageEnglish (US)
Title of host publicationFormal Techniques for Networked and Distributed Systems - FORTE 2006 - 26th IFIP WG 6.1 International Conference, Proceedings
EditorsElie Najm, Jean-François Pradat-Peyre, Véronique Viguié Donzeau-Gouge
PublisherSpringer Verlag
Number of pages16
ISBN (Print)3540462198, 9783540462194
StatePublished - 2006
Event26th IFIP WG 6.1 International Conference - Paris, France
Duration: Sep 26 2006Sep 29 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4229 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Other26th IFIP WG 6.1 International Conference

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science


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